-6(p+7)-8p=2p-2(1+4p)

Solution for -6(p+7)-8p=2p-2(1+4p) equation:

Simplifying
-6(p + 7) + -8p = 2p + -2(1 + 4p)

Reorder the terms:
-6(7 + p) + -8p = 2p + -2(1 + 4p)
(7 * -6 + p * -6) + -8p = 2p + -2(1 + 4p)
(-42 + -6p) + -8p = 2p + -2(1 + 4p)

Combine like terms: -6p + -8p = -14p
-42 + -14p = 2p + -2(1 + 4p)
-42 + -14p = 2p + (1 * -2 + 4p * -2)
-42 + -14p = 2p + (-2 + -8p)

Reorder the terms:
-42 + -14p = -2 + 2p + -8p

Combine like terms: 2p + -8p = -6p
-42 + -14p = -2 + -6p

Solving
-42 + -14p = -2 + -6p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '6p' to each side of the equation.
-42 + -14p + 6p = -2 + -6p + 6p

Combine like terms: -14p + 6p = -8p
-42 + -8p = -2 + -6p + 6p

Combine like terms: -6p + 6p = 0
-42 + -8p = -2 + 0
-42 + -8p = -2

Add '42' to each side of the equation.
-42 + 42 + -8p = -2 + 42

Combine like terms: -42 + 42 = 0
0 + -8p = -2 + 42
-8p = -2 + 42

Combine like terms: -2 + 42 = 40
-8p = 40

Divide each side by '-8'.
p = -5

Simplifying
p = -5